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Finding the Fourth Proportional to 6,232.97, 9,344.52 and 3,111.37

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Solution

The fourth proportional to 6,232.97, 9,344.52 and 3,111.37 is: 4,664.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.97 : 9,344.52 = 3,111.37 : x
  2. Step 2: Convert to fraction form
    6,232.97/9,344.52 = 3,111.37/x
  3. Step 3: Cross multiply
    6,232.97x = 9,344.52 × 3,111.37
  4. Step 4: Simplify right side
    6,232.97x = 29,074,259.19
  5. Step 5: Solve for x
    x = 29,074,259.19/6,232.97
  6. Step 6: Final answer
    x = 4,664.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.